2321413920 has 1152 divisors, whose sum is σ = 10868981760. Its totient is φ = 437944320.

The previous prime is 2321413909. The next prime is 2321413961. The reversal of 2321413920 is 293141232.

It is a happy number.

2321413920 is a `hidden beast` number, since 232 + 1 + 41 + 392 + 0 = 666.

2321413920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74884305 + ... + 74884335.

It is an arithmetic number, because the mean of its divisors is an integer number (9434880).

Almost surely, 2^2321413920 is an apocalyptic number.

2321413920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434490880).

2321413920 is an abundant number, since it is smaller than the sum of its proper divisors (8547567840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2321413920 is a wasteful number, since it uses less digits than its factorization.

2321413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2321413920 is about 48181.0535376718. The cubic root of 2321413920 is about 1324.0900685039.

The spelling of 2321413920 in words is "two billion, three hundred twenty-one million, four hundred thirteen thousand, nine hundred twenty".